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2530785712 = 247313191867
BaseRepresentation
bin1001011011011000…
…1011100110110000
320112101010020100011
42112312023212300
520140340120322
61055043304304
7116500216000
oct22666134660
96471106304
102530785712
111089620844
125a767b094
1331441ac50
141a0186000
15ec2ac677
hex96d8b9b0

2530785712 has 160 divisors (see below), whose sum is σ = 6485696000. Its totient is φ = 947987712.

The previous prime is 2530785701. The next prime is 2530785727. The reversal of 2530785712 is 2175870352.

It is a happy number.

2530785712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1354603 + ... + 1356469.

It is an arithmetic number, because the mean of its divisors is an integer number (40535600).

Almost surely, 22530785712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2530785712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242848000).

2530785712 is an abundant number, since it is smaller than the sum of its proper divisors (3954910288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2530785712 is a wasteful number, since it uses less digits than its factorization.

2530785712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The square root of 2530785712 is about 50306.9151509015. The cubic root of 2530785712 is about 1362.7571143650.

The spelling of 2530785712 in words is "two billion, five hundred thirty million, seven hundred eighty-five thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 49 52 56 76 91 98 104 112 133 152 182 196 208 247 266 304 343 364 392 494 532 637 686 728 784 931 988 1064 1274 1372 1456 1729 1862 1867 1976 2128 2548 2744 3458 3724 3734 3952 4459 5096 5488 6517 6916 7448 7468 8918 10192 12103 13034 13069 13832 14896 14936 17836 24206 24271 26068 26138 27664 29872 35473 35672 48412 48542 52136 52276 70946 71344 84721 91483 96824 97084 104272 104552 141892 169442 169897 182966 193648 194168 209104 248311 283784 338884 339794 365932 388336 461149 496622 567568 640381 677768 679588 731864 922298 993244 1189279 1280762 1355536 1359176 1463728 1738177 1844596 1986488 2378558 2561524 2718352 3228043 3476354 3689192 3972976 4757116 5123048 6456086 6952708 7378384 8324953 9514232 10246096 12167239 12912172 13905416 16649906 19028464 22596301 24334478 25824344 27810832 33299812 45192602 48668956 51648688 66599624 90385204 97337912 133199248 158174107 180770408 194675824 316348214 361540816 632696428 1265392856 2530785712